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Finding the Third Proportional to 130,771,315 and 282,345,518

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Solution

The third proportional to 130,771,315 and 282,345,518 is: 609,606,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,771,315 : 282,345,518 = 282,345,518 : x
  2. Step 2: Convert to fraction form
    130,771,315/282,345,518 = 282,345,518/x
  3. Step 3: Cross multiply
    130,771,315x = 282,345,518 × 282,345,518
  4. Step 4: Simplify right side
    130,771,315x = 79,718,991,534,688,320
  5. Step 5: Solve for x
    x = 79,718,991,534,688,320/130,771,315
  6. Step 6: Final answer
    x = 609,606,101.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.